integral from 0 to-0.4 of 300x

Lösung

\int_{0}^{- 0.4} 300 x d x

24

Schritte zur Lösung

\int_{0}^{- 0.4} 300 x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 0.4}^{0} 300 x d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 300 \cdot \int_{- 0.4}^{0} x d x

Wende die Potenzregel an

= - 300 [\frac{x ^{2}}{2}]_{- 0.4}^{0}

Vereinfache

= - 300 [0.5 x^{2}]_{- 0.4}^{0}

Berechne die Grenzen:

- 0.08

= - 300 (- 0.08)

Vereinfache

= 24

\int (5 s + 3)^{2} d s

n = 0 \sum \infty \frac{7 ^{n}}{1 1 ^{n}}

\int_{0}^{1} \frac{1}{x ^{3}} d x

d er i v a t i v e e^{2} + 2^{x}

x \to 0 + lim (x^{15 x})